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130095936 = 263379953
BaseRepresentation
bin1111100000100…
…01101101000000
3100001210120002000
413300101231000
5231301032221
620524224000
73136540305
oct760215500
9301716060
10130095936
1167488003
123769b000
1320c50359
14133c70ac
15b64be26
hex7c11b40

130095936 has 112 divisors (see below), whose sum is σ = 387705600. Its totient is φ = 42771456.

The previous prime is 130095929. The next prime is 130095961. The reversal of 130095936 is 639590031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130095936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136036 + ... + 136988.

Almost surely, 2130095936 is an apocalyptic number.

130095936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193852800).

130095936 is an abundant number, since it is smaller than the sum of its proper divisors (257609664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130095936 is an equidigital number, since it uses as much as digits as its factorization.

130095936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 130095936 is about 11405.9605470123. The cubic root of 130095936 is about 506.7042846800.

The spelling of 130095936 in words is "one hundred thirty million, ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 953 1264 1422 1728 1896 1906 2133 2528 2844 2859 3792 3812 4266 5056 5688 5718 7584 7624 8532 8577 11376 11436 15168 15248 17064 17154 22752 22872 25731 30496 34128 34308 45504 45744 51462 60992 68256 68616 75287 91488 102924 136512 137232 150574 182976 205848 225861 274464 301148 411696 451722 548928 602296 677583 823392 903444 1204592 1355166 1646784 1806888 2032749 2409184 2710332 3613776 4065498 4818368 5420664 7227552 8130996 10841328 14455104 16261992 21682656 32523984 43365312 65047968 130095936